A version of Krasnosel'skiĭ's compression-expansion fixed point theorem in cones for discontinuous operators with applications

DOI10.12775/TMNA.2018.003zbMath1430.34032arXiv1703.04510MaRDI QIDQ1668823

Rodrigo López Pouso, Rubén Figueroa, Jorge Rodríguez-López

Publication date: 29 August 2018

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.04510

zbMATH Keywords

positive solutionsdiscontinuous differential equationsKrasnosel'skiĭ fixed point theorem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Fixed-point theorems (47H10) Discontinuous ordinary differential equations (34A36) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (6)

Positive solutions for discontinuous problems with applications to \(\phi \)-Laplacian equations ⋮ A unified variational approach to discontinuous differential equations ⋮ Fixed point index for discontinuous operators and fixed point theorems in cones with applications ⋮ New fixed point theorem for discontinuous operators in cones and applications ⋮ Positive solutions of a discontinuous one-dimensional beam equation ⋮ Positive solutions for φ-Laplace equations with discontinuous state-dependent forcing terms

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